Linear Death-Migration Models

  • James H. Matis
  • Thomas R. Kiffe
Part of the Lecture Notes in Statistics book series (LNS, volume 145)


Consider now modeling n populations connected by linear migration, with each population having both immigration and death events occurring at linear rates. Specifically, the assumptions for unit changes in this linear system fromt to t + Δt, using the general formulation in (9.3) and (9.4), would be:
  1. 1

    Prob#x007B;X, will increase by 1 due to immigration} = I i Δt

  2. 2

    Prob#x007B;Xi will decrease by 1 due to death} = μ i X i Δt

  3. 3

    Prob{Xi will increase by 1 and X; will decrease by 1 due to migration} = k ij X j Δt, for ij.



Hazard Rate Mean Residence Time Kolmogorov Equation Erlang Distribution Occupancy Probability 
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Copyright information

© Springer-Verlag New York, Inc. 2000

Authors and Affiliations

  • James H. Matis
    • 1
  • Thomas R. Kiffe
    • 2
  1. 1.Department of StatisticsTexas A&M UniversityCollege StationUSA
  2. 2.Department of MathematicsTexas A&M UniversityCollege StationUSA

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